Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280c |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-771586560000 = -1 · 212 · 34 · 54 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-48399] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-900:1] |
Generators of the group modulo torsion |
j |
-110868710464/188375625 |
j-invariant |
L |
2.6496119071807 |
L(r)(E,1)/r! |
Ω |
0.35668716114202 |
Real period |
R |
0.92854894843195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29280v2 58560bw1 87840bp2 |
Quadratic twists by: -4 8 -3 |